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Critical dimensions in strengthening education and instructor training using fuzzy based decision algorithm and CRITIC WASPAS methodHui Zhou 1 & RenGuo Yang 2?Quality education and instructor training are foundational to the development of any society, as they directly inf l uence the ef f ectiveness of learning and the overall performance of educational systems. Decision-making is crucial in enhancing quality education and instructor training by ensuring teaching policies. This article modif i es some robust mathematical methodologies of the fuzzy framework and decision-making techniques to aggregate an authentic ranking of preferences. We also explore a novel approach to the circular pythagorean fuzzy set (Cr-PyFS) that is used to manage uncertainty and vagueness in complicated real-life applications. Some fl exible operations of Frank t-norm and t-conorm are also formulated under the system of circular pythagorean fuzzy (Cr-PyF) information. Furthermore, we derive a list of mathematical aggregation operators such as circular pythagorean fuzzy frank weighted average (Cr-PyFFWA) and circular pythagorean fuzzy frank weighted geometric (Cr- PyFFWG) operators with prominent properties. Additionally, a decision-making approach to the criteria importance through the intercriteria correlation (CRITIC) method is adopted to investigate the weight of criteria by incorporating the Cr-PyF situations. Moreover, an optimization technique of the weighted aggregated sum product assessment (WASPAS) method is established to rank alternatives under dif f erent conf l icting criteria. A numerical example is constructed to examine suitable training institutes to improve instructor skills and expertise. The comparative study is also established to demonstrate the superiority and validation of pioneering approaches with existing terminologies. Finally, a summary of the article is presented at the end of the manuscript.Keywords Circular pythagorean fuzzy information, Frank aggregation operators, CRITIC-WASPAS method and decision support systemAbbreviationsCr-PyFS Circular pythagorean fuzzy setCr-PyFFWA Circular pythagorean fuzzy frank weighted averageCr- PyFFWG Circular pythagorean fuzzy frank weighted geometricIFS Intuitionistic fuzzy setFS Fuzzy setPyFS Pythagorean fuzzy setq-ROFS Q-rung orthopair fuzzy setAOs Aggregation operatorsCr-PyFV Circular pythagorean fuzzy valueCRITIC Criteria importance through the intercriteria correlationWASPAS Weighted aggregated sum product assessmentCr-IFS Circular intuitionistic fuzzy set1 Department of Endocrinology, Sichuan Provincial People’s Hospital, School of Medicine, University of Electronic Science and Technology of China, Chengdu 610072, Sichuan, China. 2 Department of Infectious Disease, Sichuan Provincial People’s Hospital, School of Medicine, University of Electronic Science and Technology of China, Chengdu 610072, China. ? email: yangrg007@163.comOPENScientif i c Reports | (2025) 15:28701 1 | https://doi.org/10.1038/s41598-025-12393-wwww.nature.com/scientificreports